2(2x-(3x-4))-5(x-4)=0

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Solution for 2(2x-(3x-4))-5(x-4)=0 equation:


Simplifying
2(2x + -1(3x + -4)) + -5(x + -4) = 0

Reorder the terms:
2(2x + -1(-4 + 3x)) + -5(x + -4) = 0
2(2x + (-4 * -1 + 3x * -1)) + -5(x + -4) = 0
2(2x + (4 + -3x)) + -5(x + -4) = 0

Reorder the terms:
2(4 + 2x + -3x) + -5(x + -4) = 0

Combine like terms: 2x + -3x = -1x
2(4 + -1x) + -5(x + -4) = 0
(4 * 2 + -1x * 2) + -5(x + -4) = 0
(8 + -2x) + -5(x + -4) = 0

Reorder the terms:
8 + -2x + -5(-4 + x) = 0
8 + -2x + (-4 * -5 + x * -5) = 0
8 + -2x + (20 + -5x) = 0

Reorder the terms:
8 + 20 + -2x + -5x = 0

Combine like terms: 8 + 20 = 28
28 + -2x + -5x = 0

Combine like terms: -2x + -5x = -7x
28 + -7x = 0

Solving
28 + -7x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28' to each side of the equation.
28 + -28 + -7x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -7x = 0 + -28
-7x = 0 + -28

Combine like terms: 0 + -28 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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